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Finding the Third Proportional to 97,669 and 207,327

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Solution

The third proportional to 97,669 and 207,327 is: 440,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,669 : 207,327 = 207,327 : x
  2. Step 2: Convert to fraction form
    97,669/207,327 = 207,327/x
  3. Step 3: Cross multiply
    97,669x = 207,327 × 207,327
  4. Step 4: Simplify right side
    97,669x = 42,984,484,929
  5. Step 5: Solve for x
    x = 42,984,484,929/97,669
  6. Step 6: Final answer
    x = 440,103.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.